Pros:
+ High damage at early levels
+ Can kill whenever you less think.
+ Tons of DMG in Late Game.
+ With LW can even burst a low health tank.
+ Secure Dragons and Barons with your 4th Shot!

Cons:
- Lacks of Movility
- No DPS
- Needs peel from teammates.
- In early could be hard to some people to CS.

Infinity Edge: CRIT MORE HARDER!!!!!

Phantom Dancer: Good to deny some damage from DPS champions such as: Vayne, Jinx, Tristana.
+ : A big chunk of movement speed whenever you crit.

Rapid Fire Canon: Extra Range for safe poke and a little burst in trades.
+ : Extra magic damage to turrets.

Death Dance: A large amount of lifesteal and sustain.
+ : Some of the damage taken is dealt as true damage as a bleed, this makes you possible to resist damage from assasins or burst mages.

Essence Reaver: Crit Chance and Nice damage with some CDR.
+ : This makes you to recover mana at least every 4 shots, making you mana sustain pretty good and giving more CDR with more crit chance.

Last Whisper: Penetration to deal more damage to tanks, is situational after all.

Bloothirster: HIGH AD AND LIFESTEAL.

Statikk Shiv: I don't recommend this at all but if you mix it with rapid fire should be fine.

[Boots]:
Berserkers: More movement speed with crits and a little bit more damage.
Switfness: If you wanna be sneaky all the time.
Tabis: Against AD to mitigate some damage from autoattacks.
Mercury: Against AP and to make the CC less heavy.

Lethality now is too weak, and is more efficient to go Crit Jhin. Lethality doesn't helps you too much against heavy tanks.

[Laning Fase]
With your Support take advantage chaining CC and try to wait him to make a llitle bit more of damage for your 4 shot to kill him or do a lot of damage. After that you can bck a little bit or even go for kill or go Dragon with you jungler.

[Team fights]
Burst carrys with your AA's and Q, catch low health enemies that are running away with your W, finish the job with your R, always wait from your teammates to iniciate.
In 1v1s assasinate carrys or some fighters. Remember, you're squishy and there no such movility to escape.

[If you are Behind]
Farm passively and try to help your teammates, you can entern some fights and probably recover in mid-late game.